[PDF] Top 20 Existence theory to a class of boundary value problems of hybrid fractional sequential integro-differential equations

... called fractional integrals and derivatives. The potential of fractional calculus has drawn the attention of applied scientists, engineers, and other ...of fractional derivatives and ... See full document

... Caputo fractional derivatives plays a vital role in the modeling of dynamical and physical problems as it has known physical interpretation for initial and boundary value problems like ... See full document

... Fractional differential equations arises in various scientific disciplines and process an outstanding tool of hereditary properties of various materials and processes such as physics, chemistry, ... See full document

... the theory of boundary fractional hybrid differential equations involving Caputo differential operators of order  < α < ...An existence theorem for boundary ... See full document

... Boundary value problems for nonlinear fractional differential equations have recently been addressed by several ...differential equations of fractional order lies in the ... See full document

... the existence of solutions for initial value problems of first and second order for hybrid fractional integro-differential ...a hybrid fixed point theorem for three operators ... See full document

... The theory of fractional derivatives goes back to Leibniz’s note in his list to L’Hospital, dated  September , in which the meaning of the derivative of order / is ...the theory of ... See full document

... Boundary value problems for fractional differential equations arise in many engineering and scientific disciplines as the mathematical modeling of systems and processes in the ... See full document

... Periodic Boundary Value Problems for Fractional Differential Equations Involving a Riemann-Liouville Fractional Deriva- ...Periodic Boundary Value ... See full document

... using cone theory, they then deduced the existence of one or more positive solutions. Of particular interest with regard to the present paper is the recent work by Benchohra et al. []. In that paper, the ... See full document

... the existence of solutions for periodic boundary value problems for impulsive fractional integro-differential equations using a recent novel concept of conformable ... See full document

... The rest of the paper will be organized as follows. In Section 2 we give some preliminaries and key fixed point theorems that will be used in subsequent part of the paper. In Section 3 we discuss the main ... See full document

... of fractional differential equations have been generally studied, see ...knows, fractional differential equations are used in many fields, for instance, control theory, mechanics, polymer ... See full document

... periodic boundary value problems of fractional semilinear integro-differential equations with non-instantaneous impulses in Banach ...the theory of β -resolvent family, and ... See full document

... of fractional calculus and its widespread applications in sev- eral disciplines clearly indicate the interest of researchers and modelers in the ...of fractional calculus have been effectively used in ... See full document

... the existence of solutions of boundary value problems of nonlinear fractional integro-differential equations involving Caputo fractional derivative by using ... See full document

... the existence of solutions for a new class of boundary value problems of nonlinear fractional integro-differential equations and inclusions of arbitrary order with ... See full document

... Fractional differential equations is a generalization of ordinary differential equations and integration to arbitrary non-integer ...decades, fractional order model- s are found ... See full document

... impulsive problems for fractional differential equations with boundary value ...the boundary value problems for impulsive fractional ... See full document

... the existence and uniqueness of solutions for a class of boundary value problems of nonlinear fractional order differential equations involving the Caputo ... See full document